52854746105448 has 768 divisors, whose sum is σ = 181302091776000. Its totient is φ = 13569693806592.

The previous prime is 52854746105363. The next prime is 52854746105471. The reversal of 52854746105448 is 84450164745825.

52854746105448 is a `hidden beast` number, since 5 + 2 + 8 + 5 + 4 + 7 + 4 + 610 + 5 + 4 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7126158636 + ... + 7126166052.

It is an arithmetic number, because the mean of its divisors is an integer number (236070432000).

Almost surely, 2^{52854746105448} is an apocalyptic number.

52854746105448 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52854746105448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90651045888000).

52854746105448 is an abundant number, since it is smaller than the sum of its proper divisors (128447345670552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52854746105448 is a wasteful number, since it uses less digits than its factorization.

52854746105448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934 (or 7927 counting only the distinct ones).

The product of its (nonzero) digits is 172032000, while the sum is 63.

The spelling of 52854746105448 in words is "fifty-two trillion, eight hundred fifty-four billion, seven hundred forty-six million, one hundred five thousand, four hundred forty-eight".